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## Brianna9898 Group Title A floor has two square-shaped designs. The area of the second square-shaped design is nine times greater than the area of the first square-shaped design. Which statement gives the correct relationship between the lengths of the sides of the two squares? one year ago one year ago

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1. Brianna9898 Group Title

these are the options... The length of the side of the second square is 3 times greater than the length of the side of the first square. The length of the side of the second square is 12 times greater than the length of the side of the first square. The length of the side of the second square is 9 times greater than the length of the side of the first square. The length of the side of the second square is 6 times greater than the length of the side of the first square.

2. Shadowys Group Title

since $$A=l^2$$ and $$A'=l'^2$$ when $$A=9A'$$ sub them in to get the relationship between l and l'

3. Brianna9898 Group Title

what am i supposed to sub in?

4. Shadowys Group Title

the l and l ' like this: $$A=9A'$$ $$l^2 = 9 l'^2$$

5. Brianna9898 Group Title

im like really slow and have no idea wut im doing.-_-

6. Shadowys Group Title

lol. i guess i'll try to do it step by step. since $$A=l^2$$, $$A_1=l_1^2$$ (this is the first square)............(1) $$A_2=l_2^2$$ (this is the second square)........(2) since the area of the second square is nine times the first, (it's the only given condition, so we start from that.) $$A_2=9A_1$$ subbing (1) and (2) into it, we get, $$l_2^2=9l_1^2$$| what did you get after taking thesquare roots of both sides?

7. Brianna9898 Group Title

sorry im back and thank you.

8. waterineyes Group Title

Just take the square root both the sides and tell us what you got as @Shadowys said above..

9. waterineyes Group Title

Getting ?? @Brianna9898

10. Brianna9898 Group Title

I have no idea!

11. waterineyes Group Title

Are you getting till here" $l_2^2=9 l_1^2$

12. Brianna9898 Group Title

why is there a 1 & 2 at the bottom

13. waterineyes Group Title

See when you will take square root you will get like: $\large \sqrt{l_2^2} = \sqrt{9 l_1^2}$ Can you tell what is this: $\large \sqrt{l_2^2} = ??$

14. Brianna9898 Group Title

... and how am I supposed to square root an l ??

15. waterineyes Group Title

Oh that.. $$l_1$$ is showing length of first square. $$l_2$$ is for length of second square.

16. waterineyes Group Title

you can actually.. See, What is square root of this: $\large \sqrt{2^2} = ??$

17. Brianna9898 Group Title

2

18. waterineyes Group Title

Similar way what will be square root of this: $\large \sqrt{l_2^2} = ??$

19. Brianna9898 Group Title

$l$

20. Brianna9898 Group Title

??

21. waterineyes Group Title

Or you can say $$l_2$$.. Good..

22. waterineyes Group Title

Similarly can you tell for: $\large \sqrt{9l_1^2} = ??$

23. Brianna9898 Group Title

so you have to keep the 2 at the bottom

24. Shadowys Group Title

the one and two are sub scripts to differentiate between the first length and the second, thus, 1 and 2 respectively.

25. waterineyes Group Title

see, 1 and 2 is differentiating lengths of the two square you are given with, so don't think here of just l think here of $$l_1$$ and $$l_2$$..

26. Brianna9898 Group Title

so it would be $9l _{1} ??$

27. waterineyes Group Title

You forgot to take square root of 9. \(l_1\0 is good though..

28. waterineyes Group Title

What is square root of 9?

29. Brianna9898 Group Title

3

30. waterineyes Group Title

Yep after square root you will get like: $\large l_2 = 3 \times l_1$

31. waterineyes Group Title

So, which answer choice is this?

32. Brianna9898 Group Title

the first one?

33. waterineyes Group Title

Well Done...

34. waterineyes Group Title

And give all the thanks to @Shadowys

35. Brianna9898 Group Title

yayyy! thank you guys for helping me!

36. Brianna9898 Group Title

I don't even know how to give a medal on this thing

37. waterineyes Group Title

Are you seeing best response after shadows post ?/ Just click that..

38. Brianna9898 Group Title

oh okay, can I give a medal to two ppl?

39. waterineyes Group Title

No, just only one..

40. waterineyes Group Title

On one post you can give medal to one only..

41. Brianna9898 Group Title

thanx for the medal @Shadowys !